Question

11. A sample of 88 items is taken from a population. The sample proportion is 0.52. What is the standard error of the sampling distribution? Round your answer to two decimal places.

Answer choices:
0.05
0.10
0.15
0.20

Answer 1

Answer: 0.05 is not an accurate answer choice. The closest answer choice is 0.10, but the correct answer is 0.06.

Explanation:

To find the standard error of the sampling distribution, we use the formula:

SE = sqrt(p*(1-p)/n)

where p is the sample proportion, n is the sample size, and sqrt represents the square root.

Plugging in the values given, we get:

SE = sqrt(0.52*(1-0.52)/88)

SE ≈ 0.06

Therefore, the standard error of the sampling distribution is approximately 0.06, rounded to two decimal places.

Answer: 0.05 is not an accurate answer choice. The closest answer choice is 0.10, but the correct answer is 0.06.